Abstract
In this paper we study the case of equalities in some comparison results for L 1-norm or L ∞-norm of the solutions of Dirichlet elliptic problem or Hamilton-Jacobi equations. We show that equalities are achieved only in spherically symmetric situations.
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Work partially supported by MURST (40%).
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Betta, M.F., Mercalso, A. Uniqueness results for optimization problems with prescribed rearrangement. Potential Analysis 5, 183–205 (1996). https://doi.org/10.1007/BF00396778
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DOI: https://doi.org/10.1007/BF00396778